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Finding the Third Proportional to 152,168 and 328,396

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Solution

The third proportional to 152,168 and 328,396 is: 708,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,168 : 328,396 = 328,396 : x
  2. Step 2: Convert to fraction form
    152,168/328,396 = 328,396/x
  3. Step 3: Cross multiply
    152,168x = 328,396 × 328,396
  4. Step 4: Simplify right side
    152,168x = 107,843,932,816
  5. Step 5: Solve for x
    x = 107,843,932,816/152,168
  6. Step 6: Final answer
    x = 708,716.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.